Ruben Robles

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Given a nonlinear system, the sector-nonlinearity methodology provides a systematic way of transforming it in an equivalent Takagi–Sugeno (T–S) model. However, such transformation is not unique: conservatism of shape-independent performance conditions in the form of linear matrix inequalities results in some models yielding better results than(More)
Given a nonlinear system, the sector-nonlinearity methodology provides a systematic way of transforming it in an equivalent Takagi-Sugeno model. However, such transformation is not unique: conservatism of shape-independent performance conditions in the form of linear matrix inequalities results in some models yielding better results than others. This paper(More)
This letter considers the work entitled “Exact Output Regulation for Nonlinear Systems Described by Takagi-Sugeno Fuzzy Models,” published previously in the IEEE Transactions on Fuzzy S ystems, where the authors try to provide a fuzzy approach to the well-known problem of exact output regulation via a dynamic implementation of the nonlinear(More)
This note considers the work entitled “Exact Output Regulation for Nonlinear Systems Described by Takagi-Sugeno Fuzzy Models” published in IEEE Trans. on Fuzzy Systems [1], where the authors try to provide a fuzzy approach to the well known problem of exact output regulation [2] via a dynamic implementation of the nonlinear mapping between the state space(More)
This paper presents two methodologies intended to address the problem of constructing the most adequate Takagi-Sugeno representation of a nonlinear system with respect to a performance goal: maximum decay rate. Both approaches are based on coordinate transformations: the first one uses the Hessian of the system in an attempt to represent nonlinearities as(More)
Results on systematic methodologies for obtaining progressively greater invariant sets of nonlinear systems within a region of interest are reported in this work. As with recent results on the subject, algorithms are developed that iteratively prove stability for larger regions by subtracting those already proved to be stable; this task is performed by an(More)
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